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Finding the Fourth Proportional to 48.38, 66.79 and 31.13

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Solution

The fourth proportional to 48.38, 66.79 and 31.13 is: 42.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    48.38 : 66.79 = 31.13 : x
  2. Step 2: Convert to fraction form
    48.38/66.79 = 31.13/x
  3. Step 3: Cross multiply
    48.38x = 66.79 × 31.13
  4. Step 4: Simplify right side
    48.38x = 2,079.17
  5. Step 5: Solve for x
    x = 2,079.17/48.38
  6. Step 6: Final answer
    x = 42.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.